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Finding the Third Proportional to 6,571 and 14,369

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Solution

The third proportional to 6,571 and 14,369 is: 31,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571 : 14,369 = 14,369 : x
  2. Step 2: Convert to fraction form
    6,571/14,369 = 14,369/x
  3. Step 3: Cross multiply
    6,571x = 14,369 × 14,369
  4. Step 4: Simplify right side
    6,571x = 206,468,161
  5. Step 5: Solve for x
    x = 206,468,161/6,571
  6. Step 6: Final answer
    x = 31,421.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.